Pith Number

pith:6ULASYGC

pith:2013:6ULASYGCSLT7ZLQOWT55Q3KJ5P

not attested not anchored not stored refs pending

SLP compression for solutions of equations with constraints in free and hyperbolic groups

Atefeh Mohajeri Moghaddam, Olga Kharlampovich, Volker Diekert

arxiv:1308.5586 v1 · 2013-08-26 · math.GR · cs.DM · cs.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ULASYGCSLT7ZLQOWT55Q3KJ5P}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:15:04.046883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5160960c292e7fcae0eb4fbd86d49ebfbe7b97b39589b0d1bd23dcc8ce6d6d5

Aliases

arxiv: 1308.5586 · arxiv_version: 1308.5586v1 · doi: 10.48550/arxiv.1308.5586 · pith_short_12: 6ULASYGCSLT7 · pith_short_16: 6ULASYGCSLT7ZLQO · pith_short_8: 6ULASYGC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6ULASYGCSLT7ZLQOWT55Q3KJ5P \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f5160960c292e7fcae0eb4fbd86d49ebfbe7b97b39589b0d1bd23dcc8ce6d6d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5f6437772b00d60ba962ad8f94d147fc5e1d5489a6f881d169b30a69b64af85",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-26T13:47:22Z",
    "title_canon_sha256": "551db9a04664d92a2272c8e4fe94b933d067bdf0617440988cd6a894a0ca153e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5586",
    "kind": "arxiv",
    "version": 1
  }
}